Atkin-Lehner |
2+ 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
42598c |
Isogeny class |
Conductor |
42598 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-32064967021408 = -1 · 25 · 198 · 59 |
Discriminant |
Eigenvalues |
2+ 2 0 -3 3 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7935,-11563] |
[a1,a2,a3,a4,a6] |
Generators |
[228459:4026982:9261] |
Generators of the group modulo torsion |
j |
1174241375/681568 |
j-invariant |
L |
6.0583118370443 |
L(r)(E,1)/r! |
Ω |
0.38998485456594 |
Real period |
R |
7.767368099186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2242a1 |
Quadratic twists by: -19 |